79148154960 has 120 divisors (see below), whose sum is σ = 303778176000. Its totient is φ = 18091005696.

The previous prime is 79148154947. The next prime is 79148154961. The reversal of 79148154960 is 6945184197.

79148154960 is a `hidden beast` number, since 7 + 9 + 14 + 81 + 549 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×79148154960⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79148154897 and 79148154906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79148154961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7846960 + ... + 7857039.

It is an arithmetic number, because the mean of its divisors is an integer number (2531484800).

Almost surely, 2^79148154960 is an apocalyptic number.

79148154960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

79148154960 is an abundant number, since it is smaller than the sum of its proper divisors (224630021040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79148154960 is a wasteful number, since it uses less digits than its factorization.

79148154960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15704025 (or 15704016 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 79148154960 in words is "seventy-nine billion, one hundred forty-eight million, one hundred fifty-four thousand, nine hundred sixty".